Sekinan Data: Quantum-Nerve Theory With References

Quantum-Nerve Theory With References

14/10/2019 17:39

Quantum-Nerve Theory
Abbreviation : QNT

TANAKA Akio

Part 0

Cicerone to QNT

Macro Time and Micro Time 2013

For WITTGENSTEIN Ludwig Position of Language 2005 - 2014

Connection between early paper's quantum and recent paper's geometry 7th edition 2017

TANAKA Akio

0.
Autumn in 2002, I entered hospital by contracting pneumonia, at where I thought that learning on Chinese characters heretofore seemed to be able to used for the model of language universals. Spring 2003 at Hakuba, Nagano I wrote a trial paper titled On Time Property Inherent in Characters, that was focused on the time inherent in characters using the Chinese written language appeared in typical philological text of the Five Classics of Confucianism. After all, this paper led me the long road to try solving language universals in language.

1.
On language universals my early papers are frequently concentrated in quantum's situation applied from theoretical physics. But at recent papers quantum's themes are almost disappear at least from the surface of theoretical progress.This notable difference is occurred through language's whereabouts, that is generally called space at scientific field. One of my important quest has been at this whereabouts description.Physical space is very hard to describe clearly by my ability. Probably I have not been able to understand physical space for using and observing the situation of language models. On the contrary mathematical spaces are very clear by using minimum axioms and theorems.

2.
Another quest is occurred from natural language's quality.Natural language consists of physical elements - voice and hearing, writing and seeing. But what being carried by upper elements are going over physical world - thought, remembrance, feeling and so forth. I ever wrote these situation using a sample that is a changing apple passing in the time.This quest is paraphrased in concrete - physics and abstract - mathematics.

3.
Geometry is a field of mathematics, which I select because of being easily visualised thinking for my approach to the language problems. Geometry hands out intuitive ideas to me not using any formulas, for example even at the time of tea.I consent that geometry is the queen of mathematics. I also remember the saying of Roger Penrose, "We cannot get any deep understanding of the laws that govern the physical world without entering the world of mathematics."

4.
At the geometry field, now I am charmed to W. T. Thurston's geometrization concept, that opens 3-dimensional manifold to hyperbolic geometry's model. This model will probably hint me the new landscape for language models, that will show us more exhaustive language universal theory.

5.
What now I say as language universals is energy ,distance, dimension and so forth.
Brief comments on the three themes are time to time mentioned through my milestones to the upper steps for the research.

6.
The hardest theme has been in energy all through the research. But Perelman has opened the narrow and steep lane to the aim by physics-mixture mathematics approach, especially thermodynamics-based means. It was a surprise which way was seemed to be the very hard way or despaired way at my present ability.

References

5-2

5-3

Papers on language dimension In chronological order

5-4

Distance Theory Algebraically Supplemented / Brane Simplified Model
Distance Theory Algebraically Supplemented / Brane Simplified Model / Distance

This paper is unfinished. Tokyo

8 November - 13 November 2017
Geometrization language

Part 1

Making nerve's mathematical model

What is signal? The existence that generates language

Preface, Preparation, Preparation 2, References, Main Issue 1-5, Anticipation - FAQ and Comment
Contents Edition

21 November 2018 - 24 April 2019

TANAKA Akio

Sekinan Library

Tokyo

Original Title

What is signal? A mathematical model of nerve For father and mother

Quantum-Nerve Theory
Part 2
Physical mathematics from quantum group

0
Inspiration The Time of Quantum 2008
1
Quantum Theory for Language 2004
Place where Quantum of language Exists 2004
Frame-Quantum Theory 2005
Frame-Quantum-Time Theory 2005
Quantum Warp Theory Warp 2005
Quantum Linguistics Solidity and Flexibility 2006
Quantum Language Substantiality of Language 2006
2
1.Clifford Algebra Note 1 From Super Space to Quantization 2008
2. Kac-Moody Lie Algebra Note 2 Quantum Group 2008
3. Symplectic Language Theory Note 6 Homological Mirror Symmetry Conjecture by KONTSEVICH 2009
4. Floer Homology Language Note 7 Quantization of Language 2009
5. Floer Homology Language Note 8 Discreteness of Language 2009
6. Simplicial Space Language Composition of Word 20133
1. Floer Homology Language 2009
2. Homology Structure of Word 2009
3. Quantization of Language 2009
4. Discreteness of Language 2009
5. Proto Arithmetic Geometry Language 2009
6.Language, Word, Distance, Meaning and Meaning Minimum 2009
4
1. Manuscript of Quantum Theory for Language Note added 2003
2. Quantum Theory for Language 2004
3. Quantum Theory for Language Theoretical Summarization and Problem in Future 2004
4. Noncommutative Distance Theory Note 2 C*-Algebra 2007
5. Kac-Moody Lie Algebra 2008

Part 3

Basic Paper

Kac-Moody Lie Algebra

Note 2

Quantum Group

TANAKA Akio

1
Base field K Finite index set I Square matrix that has elements by integer A = ( aij )i, j∈ I Matrix that satisfies the next is called Cartan matrix.i, j ∈ I(1) aii = 2(2) aij ≤ 0 ( i ≠j )(3) aij = 0 ⇔ aji = 0

2
Cartan matrix A = (aij)i, j ∈IFamily of positive rational number {di}i∈I Arbitrary i, j∈I diaij = djaji A is called symmetrizable.

3
Finite dimension vector space h Linearly independent subset of h {hi}i∈IDual space of h h*= HomK (h, K )Linearly independent subset of h* {αi} i∈IΦ = {h, {hi}i∈I, {αi} i∈I }Cartan matrix A = {αi(hi)} I, j∈IΦis called fundamental root data of A that is Cartan matrix.

4
Symmetrizable Cartan matrix A = (aij)i, j ∈I Fundamental root data {h, {hi}i∈I, {αi} i∈I }E = αi ⊂h*Family of positive rational number {di}i∈Idiaij = djaji Symmetry bilinear form over E ( , ) : E×E → K ( (αi ,αj ) = diaij )The form is called standard form.

5
n-dimensional Euclid space Rn Linear independent vector v1, …, vn Lattice of Rn m1v1+ … +mnvn ( m1, …, mn ∈ Z )Lattice of h hZ

6
From the upper v 3, 4 and 5, the next three components are defined.(Φ, ( , ), hZ )When the components satisfy the next, they are called integer fundamental root data. i ∈ I
(1) ∈ Z
(2) αi ( hz ) ⊂ Z
(3) ti := hi ∈ hz7Vector space over K ABilinear product over K A×A → A When A is ring, it is called associative algebra.8 Integer mt similarity of m [m]t[m]t = tm-t-m / t- t-1 Integer m, n m≧n≧0 Binomial coefficient (mn)t similarity of m! [m]t! = [m]t! [m-1]t!...[1]tt similarity of (mn) [mn]t = [m]t! / [n]t! [m-n]t![m0] = [mm]t = 18 Integer fundamental root data that has Cartan matrix A = ( aij )i, j∈ I Ψ = ((h, {hi}i∈I, {αi} i∈I ), ( , ), hz )Generating set {Kh}h∈hz ∪{Ei, Fi}i∈I Associative algebra U over K (q), that is defined the next relations, is called quantum group associated with Ψ.(1) khkh’ = kh+h’ ( h, h’∈hZ )(2) k0 = 1(3) KhEiK-h = qαi(h)Ei ( h∈hZ , i∈I )
(4) KhFiK-h = qαi(h)Fi ( h∈hZ , i∈I )
(5) Ei Fj – FjEi = ij Ki - Ki-1 / qi – qi-1 ( i , j∈I )
(6) p [1-aijp]qiEi1-aij-pEjEip = 0 ( i , j∈I , i ≠j )
(7) p [1-aijp]qiFi1-aij-pFjFip = 0 ( i , j∈I , i ≠j ) [Note]Parameter q in K is thinkable in connection with the concept of at the paper Place where Quantum of Language exists / 27 /.

Refer to the next.
Place where Quantum of Language exists / Tokyo July 18, 2004